Question

    'Rahul', 'Amit', and 'Vikram' together can complete a work

    in 20 days. 'Rahul' and 'Amit' together can complete the same work in 60 days. 'Vikram' alone can finish the same work in how many days?
    A 12 days Correct Answer Incorrect Answer
    B 35 days Correct Answer Incorrect Answer
    C 30 days Correct Answer Incorrect Answer
    D 20 days Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the total work = 60 units (LCM of 20 and 60)

    Combined efficiency of 'Rahul' and 'Amit' = (60/60) = 1 unit/day

    Combined efficiency of 'Rahul', 'Amit', and 'Vikram' = (60/20) = 3 units/day

    Efficiency of 'Vikram' = 3 - 1 = 2 units/day

    Time taken by 'Vikram' to complete the work alone = (60/2) = 30 days

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